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Relative Angular Velocity In Case Of A R...

Relative Angular Velocity In Case Of A Rigid Body

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Knowledge Check

  • Assertion : The angular velocity of a rigid body in motion is defined for the whole body Reason : All points on a rigid body performing pure rotational motion are having same angular velocity.

    A
    If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
    B
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion
    C
    If Assertion is true but Reason is fasle
    D
    If Assertion is false but Reason is true

  • If the angular velocity of a rotating rigid body is increased then its moment of inertia about that axis

    A
    increases
    B
    decreases
    C
    becomes zero
    D
    remains unchanged

  • A : When a rigid body rotates about any fixed axis, then all the particles of it move in circles of different radii but with same angular velocity. R : In rigid body relative position of particles are fixed.

    A
    If both Assertion & Reason are true and the reason is the correct explanation of the assertion,
    B
    If both Assertion & Reason are true but the reason is not the correct explanation of the assertion,
    C
    If Assertion is true statement but Reason is false,
    D
    If both Assertion and Reason are false statements,

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    Consider a rigid body rotating in a plane. We wish to determine the angular velocity of the rigid body given the known velocities of points A and B on the rigid body. These velocities are parallel and pointing in the same direction. The line joining points A and B is perpendicular to the direction of the velocities. The figure below illustrates the set up of the problem. Note that lC is the intersection of the line passing through points A and B, and the line joining the tip of the vectors v_(A) and v_(B)

    Derive the relation between angular momentum and angular velocity of a rotating rigid body.

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